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![For the better clarification, the Ambartsumian [36] model](publication/379736848/figure/tbl1/AS:11431281235693678@1712843851893/For-the-better-clarification-the-Ambartsumian-36-model_Q320.jpg)
In this context, the nonlinear bending investigation of a sector nanoplate on the elastic foundation is carried out with the aid of the nonlocal strain gradient theory. The governing relations of the graphene plate are derived based on the higher-order shear deformation theory (HSDT) and considering von Karman nonlinear strains. Contrary to the fir...
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... section examines various factors based on HSDT and takes the nonlocal strain gradient model into consideration to determine how they affect the deflations of the sector nanoplate via EKM and DQM. Table 2 compares the deflections obtained by the current solution with those reported in the references [45,46], considering the following assumptions: ...Similar publications
Surface roughness significantly modifies the liquid film thickness entrained when dip coating a solid surface, particularly at low coating velocity. Using a homogenization approach, we present a predictive model for determining the liquid film thickness coated on a rough plate. A homogenized boundary condition at an equivalent flat surface is used...
Citations
... Several studies on the size-dependent characteristics of nanostructures have been conducted [15][16][17][18][19]. Using nonlocal strain gradient theory, research was performed by Gui and Wu [20] on the buckling of a thermal-electric-elastic nano cylindrical shell under axial load. ...
This text investigates the bending/buckling behavior of multi-layer asymmetric/symmetric annular and circular graphene plates through the application of the nonlocal strain gradient model. Additionally, the static analysis of multi-sector nanoplates is addressed. By considering the van der Waals interactions among the layers, the higher-order shear deformation theory (HSDT), and the nonlocal strain gradient theory, the equilibrium equations are formulated in terms of generalized displacements and rotations. The mathematical nonlinear equations are solved utilizing either the semi-analytical polynomial method (SAPM) and the differential quadrature method (DQM). Also, the available references are used to validate the results. Investigations are conducted to examine the effect of small-scale factors, the van der Waals interaction value among the layers, boundary conditions, and geometric factors.
